We investigate quantum teleportation in the two-copy setting based on GHZ measurement and propose the detailed protocol. The output state after the teleportation is analyzed, and the protocol is proved to be trace preserving. The general expression of the optimal teleportation fidelity is derived. The optimal teleportation fidelity is shown to be a linear function of two-copy fully entangled fraction, which is invariant under local unitary transformations. At last, we show two-copy teleportation based on GHZ measurement can be better than one-copy teleportation by an explicit example, which is amenable to demonstration in experiments. Our study is significant for improving the fidelity of teleportation for some limited resource which cannot be significantly distilled. Moreover, it can inspire us to find many other more efficient protocols for teleportation.
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We gratefully thank for the supports by National Key Research and development program of China (2017YFA0303700). Q. Q. acknowledges financial supports from NSFC (Grant No. 11704217). M. J. Zhao acknowledges financial supports from NSFC (Grant No. 11401032), the China Scholarship Council (Grant No. 201808110022), and Qin Xin Talents Cultivation Program, Beijing Information Science and Technology University, Key Project of Beijing Municipal Commission of Education (KZ201810028042). G.-L.L. acknowledges support from the Center of Atomic Molecular Nanosciences, Tsinghua University, and Beijing Advanced Innovation Center for Future Chip (ICFC). T.-J.W. acknowledges the Open Research Fund Program of State Key Laboratory of Low-Dimensional Quantum Physics (KF201610).
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Quan, Q., Zhao, M., Fei, S. et al. Two-copy quantum teleportation based on GHZ measurement. Quantum Inf Process 19, 205 (2020). https://doi.org/10.1007/s11128-020-02696-4
- Quantum teleportation
- Fully entangled fraction